Question

A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?

Answer 1

1.50

Explanation:

Answer 2

Mean = 1.5

Explanation:

We are given a table of probability distribution of students the numbers of hours studied.

We need to find the mean of the probability distribution.

Formula of mean = sum of product of probability and random distribution value.

`\text{Mean}=\sum X_i* P(X_i)`

`\text{Mean}=0.5* 0.07+1* 0.2+1.5* 0.46+2* 0.2+2.5* 0.07`

Now we will calculate the mean

`\text{Mean}=0.035+0.2+0.69+0.4+0.175`

`\text{Mean}=1.5`

Thus, Mean of the given table is 1.5